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Finding the Fourth Proportional to 432,992.63, 649,322.85 and 148,630.19

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Solution

The fourth proportional to 432,992.63, 649,322.85 and 148,630.19 is: 222,888.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,992.63 : 649,322.85 = 148,630.19 : x
  2. Step 2: Convert to fraction form
    432,992.63/649,322.85 = 148,630.19/x
  3. Step 3: Cross multiply
    432,992.63x = 649,322.85 × 148,630.19
  4. Step 4: Simplify right side
    432,992.63x = 96,508,978,566.84
  5. Step 5: Solve for x
    x = 96,508,978,566.84/432,992.63
  6. Step 6: Final answer
    x = 222,888.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.